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(B) Let the original nucleus be $ _{Z}^{A}X $.When an $ \alpha $-particle $( _{2}^{4}He )$ is emitted,the mass number decreases by $ 4 $ and the atomi

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one $ \alpha $ and two $ \beta $

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(B) Let the original nucleus be $ _{Z}^{A}X $.When an $ \alpha $-particle $( _{2}^{4}He )$ is emitted,the mass number decreases by $ 4 $ and the atomic number decreases by $ 2 $. The new nucleus is $ _{Z-2}^{A-4}Y $.When a $ \beta $-particle $( _{-1}^{0}e )$ is emitted,the atomic number increases by $ 1 $ and the mass number remains unchanged.If we emit one $ \alpha $ and two $ \beta $ particles:$1$. After $ \alpha $ emission: $ _{Z-2}^{A-4}Y $$2$. After first $ \beta $ emission: $ _{Z-1}^{A-4}Y' $$3$. After second $ \beta $ emission: $ _{Z}^{A-4}Y'' $Since the atomic number $ Z $ is the same as the original nucleus,it is an isotope of the original nucleus.

$A$ radioactive decay can form an isotope of the original nucleus with the emission of which particles?

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